In algebraic geometry, a log structure provides an abstract context to study semistable schemes, and in particular the notion of logarithmic differential form and the related Hodge-theoretic concepts. This idea is one of the foundations of logarithmic geometry and has applications in the theory of moduli spaces, in deformation theory and Fontaine's p-adic Hodge theory, among others.
In algebraic geometry, a log structure provides an abstract context to study semistable schemes, and in particular the notion of logarithmic differential form and the related Hodge-theoretic concepts. This idea is one of the foundations of logarithmic geometry and has applications in the theory of moduli spaces, in deformation theory and Fontaine's p-adic Hodge theory, among others.
Source: Wikipedia "Log structure" · CC BY-SA 4.0
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